{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HQBEOMCDHWN2OKSWMS6JAUUIME","short_pith_number":"pith:HQBEOMCD","canonical_record":{"source":{"id":"1405.4646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T09:04:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4a0e1a1108d19a8cb88dcce4fcefcb345b7a2388102a17fa64d633b34bc0f8e8","abstract_canon_sha256":"1a7da6079aa98ddf54e7303787f7b5df63b41db11807f7925971a9268440240a"},"schema_version":"1.0"},"canonical_sha256":"3c024730433d9ba72a5664bc905288613515147331bbac7a9e2568dce9ad9c3a","source":{"kind":"arxiv","id":"1405.4646","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4646","created_at":"2026-05-18T02:29:25Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4646v1","created_at":"2026-05-18T02:29:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4646","created_at":"2026-05-18T02:29:25Z"},{"alias_kind":"pith_short_12","alias_value":"HQBEOMCDHWN2","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HQBEOMCDHWN2OKSW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HQBEOMCD","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HQBEOMCDHWN2OKSWMS6JAUUIME","target":"record","payload":{"canonical_record":{"source":{"id":"1405.4646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T09:04:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4a0e1a1108d19a8cb88dcce4fcefcb345b7a2388102a17fa64d633b34bc0f8e8","abstract_canon_sha256":"1a7da6079aa98ddf54e7303787f7b5df63b41db11807f7925971a9268440240a"},"schema_version":"1.0"},"canonical_sha256":"3c024730433d9ba72a5664bc905288613515147331bbac7a9e2568dce9ad9c3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:25.026266Z","signature_b64":"rwL7SCntR/9yjgeyYSSOssKJ4zLOOLr09TV9DSHoU1f7tLLwWknjQ83kTyXHw4wSyXVI4iLZ2AIiFnV/m03yCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c024730433d9ba72a5664bc905288613515147331bbac7a9e2568dce9ad9c3a","last_reissued_at":"2026-05-18T02:29:25.025811Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:25.025811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.4646","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xQrO7Xv6KNzpdcGqg5UUs9uo4urkSRW/qUlkuTvPDrQwp92XkORuB6pwCsQyYEiytUooKjLNpfmIqHauxEHJBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:11:11.737544Z"},"content_sha256":"68a2e8172d430659164f6fcbb2228feb79c6a5728126068397b3b4122503918c","schema_version":"1.0","event_id":"sha256:68a2e8172d430659164f6fcbb2228feb79c6a5728126068397b3b4122503918c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HQBEOMCDHWN2OKSWMS6JAUUIME","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamics of monopole walls","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"R. Maldonado, R. S. Ward","submitted_at":"2014-05-19T09:04:33Z","abstract_excerpt":"The moduli space of centred Bogomolny-Prasad-Sommmerfield 2-monopole fields is a 4-dimensional manifold M with a natural metric, and the geodesics on M correspond to slow-motion monopole dynamics. The best-known case is that of monopoles on R^3, where M is the Atiyah-Hitchin space. More recently, the case of monopoles periodic in one direction (monopole chains) was studied a few years ago. Our aim in this note is to investigate M for doubly-periodic fields, which may be visualized as monopole walls. We identify some of the geodesics on M as fixed-point sets of discrete symmetries, and interpre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4646","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t35ERuJO3ezr1iAropYHpKjWhhy3TQLbVjKJRq4mECPEbX+2xImhfoldU5FSGxezmZoYQKDkGOafX3taB9ZTDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:11:11.737953Z"},"content_sha256":"a20452af377c363e27357b57ed30a45a9ca9f925503d1fa17dcbf19a6ff6b9d3","schema_version":"1.0","event_id":"sha256:a20452af377c363e27357b57ed30a45a9ca9f925503d1fa17dcbf19a6ff6b9d3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HQBEOMCDHWN2OKSWMS6JAUUIME/bundle.json","state_url":"https://pith.science/pith/HQBEOMCDHWN2OKSWMS6JAUUIME/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HQBEOMCDHWN2OKSWMS6JAUUIME/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T12:11:11Z","links":{"resolver":"https://pith.science/pith/HQBEOMCDHWN2OKSWMS6JAUUIME","bundle":"https://pith.science/pith/HQBEOMCDHWN2OKSWMS6JAUUIME/bundle.json","state":"https://pith.science/pith/HQBEOMCDHWN2OKSWMS6JAUUIME/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HQBEOMCDHWN2OKSWMS6JAUUIME/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HQBEOMCDHWN2OKSWMS6JAUUIME","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1a7da6079aa98ddf54e7303787f7b5df63b41db11807f7925971a9268440240a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T09:04:33Z","title_canon_sha256":"4a0e1a1108d19a8cb88dcce4fcefcb345b7a2388102a17fa64d633b34bc0f8e8"},"schema_version":"1.0","source":{"id":"1405.4646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4646","created_at":"2026-05-18T02:29:25Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4646v1","created_at":"2026-05-18T02:29:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4646","created_at":"2026-05-18T02:29:25Z"},{"alias_kind":"pith_short_12","alias_value":"HQBEOMCDHWN2","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HQBEOMCDHWN2OKSW","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HQBEOMCD","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:a20452af377c363e27357b57ed30a45a9ca9f925503d1fa17dcbf19a6ff6b9d3","target":"graph","created_at":"2026-05-18T02:29:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The moduli space of centred Bogomolny-Prasad-Sommmerfield 2-monopole fields is a 4-dimensional manifold M with a natural metric, and the geodesics on M correspond to slow-motion monopole dynamics. The best-known case is that of monopoles on R^3, where M is the Atiyah-Hitchin space. More recently, the case of monopoles periodic in one direction (monopole chains) was studied a few years ago. Our aim in this note is to investigate M for doubly-periodic fields, which may be visualized as monopole walls. We identify some of the geodesics on M as fixed-point sets of discrete symmetries, and interpre","authors_text":"R. Maldonado, R. S. Ward","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T09:04:33Z","title":"Dynamics of monopole walls"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4646","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:68a2e8172d430659164f6fcbb2228feb79c6a5728126068397b3b4122503918c","target":"record","created_at":"2026-05-18T02:29:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1a7da6079aa98ddf54e7303787f7b5df63b41db11807f7925971a9268440240a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-19T09:04:33Z","title_canon_sha256":"4a0e1a1108d19a8cb88dcce4fcefcb345b7a2388102a17fa64d633b34bc0f8e8"},"schema_version":"1.0","source":{"id":"1405.4646","kind":"arxiv","version":1}},"canonical_sha256":"3c024730433d9ba72a5664bc905288613515147331bbac7a9e2568dce9ad9c3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c024730433d9ba72a5664bc905288613515147331bbac7a9e2568dce9ad9c3a","first_computed_at":"2026-05-18T02:29:25.025811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:25.025811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rwL7SCntR/9yjgeyYSSOssKJ4zLOOLr09TV9DSHoU1f7tLLwWknjQ83kTyXHw4wSyXVI4iLZ2AIiFnV/m03yCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:25.026266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68a2e8172d430659164f6fcbb2228feb79c6a5728126068397b3b4122503918c","sha256:a20452af377c363e27357b57ed30a45a9ca9f925503d1fa17dcbf19a6ff6b9d3"],"state_sha256":"a2bceb4ad95fdd5bbc82d6f12a4a746a433a80c0ab3c3e11332902196caf31e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LaRrN+AJsH60Cv3oJ5frOcjaB1kLPin1/r2/KVhC/tDpdfRGb2RJ/bKntcghjRyx5b+TY6qRDqGL1bT9WO8IBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T12:11:11.740369Z","bundle_sha256":"bf2c09d97955d6c4559e2cf861e4d0309508d49973b88cdcf60832a37c3a99d1"}}